Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Cornered Heegaard Floer Homology
 
Christopher L Douglas University of Oxford, Oxford, United Kingdom
Robert Lipshitz University of North Carolina, Chapel Hill
Ciprian Manolescu University of California, Los Angeles
Cornered Heegaard Floer Homology
Softcover ISBN:  978-1-4704-3771-8
Product Code:  MEMO/262/1266
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
eBook ISBN:  978-1-4704-5505-7
Product Code:  MEMO/262/1266.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Softcover ISBN:  978-1-4704-3771-8
eBook: ISBN:  978-1-4704-5505-7
Product Code:  MEMO/262/1266.B
List Price: $162.00 $121.50
MAA Member Price: $145.80 $109.35
AMS Member Price: $97.20 $72.90
Cornered Heegaard Floer Homology
Click above image for expanded view
Cornered Heegaard Floer Homology
Christopher L Douglas University of Oxford, Oxford, United Kingdom
Robert Lipshitz University of North Carolina, Chapel Hill
Ciprian Manolescu University of California, Los Angeles
Softcover ISBN:  978-1-4704-3771-8
Product Code:  MEMO/262/1266
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
eBook ISBN:  978-1-4704-5505-7
Product Code:  MEMO/262/1266.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Softcover ISBN:  978-1-4704-3771-8
eBook ISBN:  978-1-4704-5505-7
Product Code:  MEMO/262/1266.B
List Price: $162.00 $121.50
MAA Member Price: $145.80 $109.35
AMS Member Price: $97.20 $72.90
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2622019; 111 pp

    Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Some abstract 2-algebra
    • 3. More 2-algebra: Bending and smoothing
    • 4. Some homological algebra of 2-modules
    • 5. The algebras and algebra-modules
    • 6. The cornering module–2-modules
    • 7. The trimodules $\mathsf {T}_{DDD}$ and $\mathsf {T}_{DDA}$
    • 8. Cornered 2-modules for cornered Heegaard diagrams
    • 9. Gradings
    • 10. Practical computations
    • 11. The nilCoxeter planar algebra
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2622019; 111 pp

Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.

  • Chapters
  • 1. Introduction
  • 2. Some abstract 2-algebra
  • 3. More 2-algebra: Bending and smoothing
  • 4. Some homological algebra of 2-modules
  • 5. The algebras and algebra-modules
  • 6. The cornering module–2-modules
  • 7. The trimodules $\mathsf {T}_{DDD}$ and $\mathsf {T}_{DDA}$
  • 8. Cornered 2-modules for cornered Heegaard diagrams
  • 9. Gradings
  • 10. Practical computations
  • 11. The nilCoxeter planar algebra
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.